Abstract
The purpose of this study is to investigate how textbooks introduce and treat the theme of proportion in geometry (similarity) and arithmetic (ratio and proportion), and how these themes are linked to each other in the books. To pursue this aim, we use the anthropological theory of the didactic. Considering 6 common Indonesian textbooks in use, we describe how proportion is explained and appears in examples and exercises, using an explicit reference model of the mathematical organizations of both themes. We also identify how the proportion themes of the geometry and arithmetic domains are linked. Our results show that the explanation in two domains has different approach, but basically they are mathematically related.
Original language | English |
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Title of host publication | Proceedings of the Ninth Congress of the European Society for Research in Mathematics Education |
Editors | Konrad Krainer, Nada Vondrova |
Publisher | European Society for Research in Mathematics Education |
Publication date | 2015 |
Pages | 33157-3163 |
Publication status | Published - 2015 |
Event | Ninth Congress of the European Society for Research in Mathematics Education - Prag, Czech Republic Duration: 4 Feb 2015 → 8 Feb 2015 http://www.cerme9.org/ |
Conference
Conference | Ninth Congress of the European Society for Research in Mathematics Education |
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Country/Territory | Czech Republic |
City | Prag |
Period | 04/02/2015 → 08/02/2015 |
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